Numerical solution of Allen-Cahn equation by Adomian decomposition method
Author
al-Ruzbayni, Abd al-Ghafur M. A.
Source
al- Rafidain Journal of Computer Sciences and Mathematics
Issue
Vol. 11, Issue 1 (31 Mar. 2014), pp.69-79, 11 p.
Publisher
University of Mosul College of Computer Science and Mathematics
Publication Date
2014-03-31
Country of Publication
Iraq
No. of Pages
11
Main Subjects
Abstract AR
في هذا البحث، تم تطبيق طريقة تحليل Adomianمع متعددات حدود Adomian لحل معادلة Allen-Cahn مع الشرط الابتدائي فقط و كذلك تطبيق طريقة DuFort-Frankel مع الشرطين الابتدائي و الحدودي لحل المعادلة.
النتائج العددية التي تم الحصول عليها طريقة تحليل Adomian مقارنة مع الحل المضبوط للمعادلة تبين بأنها أفضل من طريقة DuFort-Frankel كما هو موضح من خلال الجداول و الأشكال.
Abstract EN
In this paper, Adomian Decomposition Method with Adomian polynomials are applied to solve Allen - Cahn equation with the initial condition only, also DuFort- Frankel method is applied with the initial and boundary conditions.
The numerical results that are obtained by the Adomian decomposition method have been compared with the exact solution of the equation shown that it is more efficient than the DuFort- Frankel method, that is illustrated through the tables and Figures.
American Psychological Association (APA)
al-Ruzbayni, Abd al-Ghafur M. A.. 2014. Numerical solution of Allen-Cahn equation by Adomian decomposition method. al- Rafidain Journal of Computer Sciences and Mathematics،Vol. 11, no. 1, pp.69-79.
https://search.emarefa.net/detail/BIM-376525
Modern Language Association (MLA)
al-Ruzbayni, Abd al-Ghafur M. A.. Numerical solution of Allen-Cahn equation by Adomian decomposition method. al- Rafidain Journal of Computer Sciences and Mathematics Vol. 11, no. 1 (2014), pp.69-79.
https://search.emarefa.net/detail/BIM-376525
American Medical Association (AMA)
al-Ruzbayni, Abd al-Ghafur M. A.. Numerical solution of Allen-Cahn equation by Adomian decomposition method. al- Rafidain Journal of Computer Sciences and Mathematics. 2014. Vol. 11, no. 1, pp.69-79.
https://search.emarefa.net/detail/BIM-376525
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references : p. 77-79
Record ID
BIM-376525
